: Solve the differential equation below with initial conditions.. Find the recurrence relation and compute the first 6 coefficients (a, - a,). (1–2x)y"-y'+xy = 0 y(0) = 0, y'(0) =1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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I know the answer is x+(1/2)(x^2)+(1/2)(x^3)+(13/24)(x^4)+(11/15)(x^5) but can you help me on verifying the answer? Somehow it matches the original equation is what I'm looking for. 

2 Solve the differential equation below with initial conditions. . Find the recurrence
relation and compute the first 6 coefficients (a, -a,).
(1–2x)y"-y'+xy=0
y(0) = 0, y'(0) =1
Transcribed Image Text:2 Solve the differential equation below with initial conditions. . Find the recurrence relation and compute the first 6 coefficients (a, -a,). (1–2x)y"-y'+xy=0 y(0) = 0, y'(0) =1
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